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Finding the Fourth Proportional to 2,874.90, 3,966.15 and 1,679.79

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Solution

The fourth proportional to 2,874.90, 3,966.15 and 1,679.79 is: 2,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.90 : 3,966.15 = 1,679.79 : x
  2. Step 2: Convert to fraction form
    2,874.90/3,966.15 = 1,679.79/x
  3. Step 3: Cross multiply
    2,874.90x = 3,966.15 × 1,679.79
  4. Step 4: Simplify right side
    2,874.90x = 6,662,299.11
  5. Step 5: Solve for x
    x = 6,662,299.11/2,874.90
  6. Step 6: Final answer
    x = 2,317.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.